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Relation between Roots and Coefficients for Quadratic

The roots of ...

Question

The roots of $2 x^{2} + 7 x + 2 = 0$ are

A

equal

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B

positive

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C

rational

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D

reciprocals

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Solution

The correct option is D reciprocals
$2 x^{2} + 7 x + 2 = 0$
$a = c = 2$
Let $α, β$ be the roots.
$α β = \frac{c}{a} = 1$
$\Rightarrow α = \frac{1}{β}$
$\Rightarrow$ Roots are reciprocals.

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Relation between Roots and Coefficients for Quadratic

Standard XII Mathematics

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